Question

which ordered pair is in the solution set of the system of inequalities

Answer 1

You didn't post the inequalities.

Answer 2

y is less than or equal to 3x+1 and x-y>1

Answer 3

now somebody can help. inequalities aren't my forte, but I'm sure somebody here will be of assistance.

Answer 4

can you list the ordered pairs ?

Answer 5

(-1,-2) (1,2) (2,-1) (-1,2)

Answer 6

y <= 3x + 1
x - y > 1

we need to sub in our answer choices to see which set satisfies both inequalities.

(-1,-2) x = -1 and y = -2
y <= 3x + 1
-2 <= 3(-1) + 1
-2 <= -3 + 1
-2 <= -2 (correct)
now lets see if it satisfies the other inequality
x - y > 1
-1 - (-2) > 1
-1 + 2 > 1
1 > 1 (incorrect)
this one is not it.
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(1,2) x = 1 and y = 2
y <= 3x + 1
2 <= 3(1) + 1
2 <= 3 + 1
2 < = 4 (correct)

x - y > 1
1 - 2 > 1
-1 > 1 (incorrect)
not this one either
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(2,-1) x = 2 and y = -1
y <= 3x + 1
-1 <= 3(2) + 1
-1 <= 6 + 1
-1 <= 7 (correct)

x - y > 1
2 - (-1) > 1
2 + 1 > 1
3 > 1 (correct)
THIS IS IT
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(-1,2) x = -1 and y = 2
y <= 3x + 1
2 <= 3(-1) + 1
2 <= -3 + 1
2 <= -2 (incorrect)
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answer is (2,-1)